Morgan-Voyce Polynomial Approach for Quaternionic Space Curves of Constant Width
2021
artykuł naukowy
angielski
- curve of constant width
- quaternionic space curve
- Morgan-Voyce polynomial approach
EN The curves of constant width are special curves used in engineering, architecture and technology. In the literature, these curves are considered according to different roofs in different spaces and some integral characterizations of these curves are obtained. However, in order to examine the geometric properties of curves of constant width, more than characterization is required. In this study, firstly differential equations characterizing quaternionic space curves of constant width are obtained. Then, the approximate solutions of the differential equations obtained are calculated by the Morgan-Voyce polynomial approach. The geometric properties of this curve type are examined with the help of these solutions.
71 - 83
CC BY-NC-ND (uznanie autorstwa - użycie niekomercyjne - bez utworów zależnych)
40
40